# Solving an Absolute Value Equation and Inequality.

## Presentation on theme: "Solving an Absolute Value Equation and Inequality."— Presentation transcript:

Solving an Absolute Value Equation and Inequality

Solving an Absolute Value Equation Solve the following: Isolate the Absolute Value Write a Positive and a Negative Version OR Solve Both

Solving an Absolute Value Inequality 0 x x = -5 x = 0 x = 8 -13 ≤ -11 -3 ≤ -11 -15 ≤ -11 TrueFalseTrue Find the BoundaryTest Every Region Solve the following inequality: Change inequality to equality Solve Plot Boundary Point(s) Pick a point in each region Substitute into Original Shade True Region(s) Algebraic Solution Closed or Open Dot(s)? Graphical Solution

Writing an inequality as an Absolute Value Inequality Write the following inequalities with an absolute value: 9 x 21 66 15 -20 x -6 7 7 -13

Square Roots and Absolute Value Evaluate the following expression with the values below: 1. 2. 3. The value is always positive:

Square Roots and Absolute Value Solve the following for y:

Square Roots and Absolute Value Solve the following: OR….